Pith Number

pith:6SZ26JBI

pith:2006:6SZ26JBIGUK3LXVZAPLKFQJ53D

not attested not anchored not stored refs pending

Sequences of enumerative geometry: congruences and asymptotics

Daniel B. Grunberg, Pieter Moree

arxiv:math/0610286 v1 · 2006-10-09 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SZ26JBIGUK3LXVZAPLKFQJ53D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:49:58.846864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b3af24283515b5deb903d6a2c13dd8ca8787f983a378320a7dfade8ceddb7f

Aliases

arxiv: math/0610286 · arxiv_version: math/0610286v1 · doi: 10.48550/arxiv.math/0610286 · pith_short_12: 6SZ26JBIGUK3 · pith_short_16: 6SZ26JBIGUK3LXVZ · pith_short_8: 6SZ26JBI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6SZ26JBIGUK3LXVZAPLKFQJ53D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f4b3af24283515b5deb903d6a2c13dd8ca8787f983a378320a7dfade8ceddb7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e24714dc3eaa52e4134f9d7089e24beb1f44fb568a30902980398b7b788ef3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-09T13:54:05Z",
    "title_canon_sha256": "6664563231fcc87c1b287997ed7e08da5b2b15e6dd2be31e87a274270eeaac98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610286",
    "kind": "arxiv",
    "version": 1
  }
}